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230496084 = 223371347499
BaseRepresentation
bin11011011110100…
…01011101010100
3121001201102012000
431233101131110
5433001333314
634512155300
75466120150
oct1557213524
9531642160
10230496084
11109122135
1265238b30
13389a4020
1422880060
1515380209
hexdbd1754

230496084 has 192 divisors, whose sum is σ = 752640000. Its totient is φ = 59377536.

The previous prime is 230496073. The next prime is 230496103. The reversal of 230496084 is 480694032.

It is a happy number.

230496084 is a `hidden beast` number, since 2 + 3 + 0 + 49 + 608 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461667 + ... + 462165.

It is an arithmetic number, because the mean of its divisors is an integer number (3920000).

Almost surely, 2230496084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230496084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320000).

230496084 is an abundant number, since it is smaller than the sum of its proper divisors (522143916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230496084 is a wasteful number, since it uses less digits than its factorization.

230496084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230496084 is about 15182.0974835495. The cubic root of 230496084 is about 613.1327540659.

The spelling of 230496084 in words is "two hundred thirty million, four hundred ninety-six thousand, eighty-four".